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mamaluj [8]
3 years ago
14

A recipe calls for 3 cups of milk to make 30 biscuits. How many cups of milk will you need to make 45 biscuits?

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

The answer is: 4.5 cups.

The explanation is shown below:

1. You  need 3 cups of milk to make 30 biscuits.

2. Therefore, to solve the exercise you only need to multiply 45 biscuits by 3 cups and divide this by 30 biscuits.

3. Let's call the cups you will need to make 45 biscuits x. Then, you have:

x=\frac{(45)(3)}{30}\\x=4.5

4. Therefore, you will need 4.5 cups  to make 45 biscuits.

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Find all ratios that are equivalent to 4 : 6 and have a first term that is less than 40.
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Answer:

2: 3, 4: 6, 6: 9, 8: 12 , 10: 15, 12: 18, 14: 21, 16: 24, 18: 27, 20: 30, 22: 33, 24:36, 26: 39, 28: 42, 30: 45, 32: 48, 34: 51, 36: 54, 38: 57

Step-by-step explanation:

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The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a to
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A. False

B. True

C. False

D. False

Step-by-step explanation:

A. Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

False, it is the y-intercept of the function that indicates the amount at the start of the experiment.

B. Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

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C. Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.

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6 0
3 years ago
Find sin(2x), cos(2x) and tan (2x) from the given information. cot(x)=2/3, x in quadrant I
Usimov [2.4K]

Answer:

1.) 6√13/13

2.) 4√13/13

3.) 3

Step-by-step explanation:

given that cot(x) = 2/3

But cot(x) = 1/tan(x)

Substitutes 1/tan(x) for cot(x)

1/tan(x) = 2/3

Reciprocate both sides

Tan(x) = 3/2 = opposite/adjacent

Use pythagorean theorem to find the hypothenus.

Hypothenus = sqrt ( 3^2 + 2^2 )

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Rationalise

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Rationalise

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Cos(2x) = 4√13/13

3.) Tan (x) = 3/2

tan (2x) = 2 × 3/2

Tan(2x) = 3

4 0
3 years ago
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